
admits a solution \((\frac{\delta }{c_3}(1-e^{-c_3(N-t)}),0)\) . Then the maximal solution argument (Theorem 2.3 of [1]}) gives
\(\underline{P}_{1,N}(t,i)\ge \frac{\delta }{c_3}(1-e^{-c_3(N-t)}).\) 
